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Finding the Fourth Proportional to 5,315.67, 7,336.31 and 3,077.64

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Solution

The fourth proportional to 5,315.67, 7,336.31 and 3,077.64 is: 4,247.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.67 : 7,336.31 = 3,077.64 : x
  2. Step 2: Convert to fraction form
    5,315.67/7,336.31 = 3,077.64/x
  3. Step 3: Cross multiply
    5,315.67x = 7,336.31 × 3,077.64
  4. Step 4: Simplify right side
    5,315.67x = 22,578,505.72
  5. Step 5: Solve for x
    x = 22,578,505.72/5,315.67
  6. Step 6: Final answer
    x = 4,247.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.